312433121334213 has 36 divisors (see below), whose sum is σ = 496050409138284. Its totient is φ = 189352695734400.

The previous prime is 312433121334209. The next prime is 312433121334259.

312433121334213 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 3 + 312 + 1 + 334 + 2 + 1 + 3 = 666.

312433121334213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 207897669683649 + 104535451650564 = 14418657^2 + 10224258^2 .

It is not a de Polignac number, because 312433121334213 - 2² = 312433121334209 is a prime.

It is a super-2 number, since 2×312433121334213² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312433121334293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 523446481 + ... + 524043017.

It is an arithmetic number, because the mean of its divisors is an integer number (13779178031619).

Almost surely, 2^{312433121334213} is an apocalyptic number.

312433121334213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312433121334213 is a deficient number, since it is larger than the sum of its proper divisors (183617287804071).

312433121334213 is a wasteful number, since it uses less digits than its factorization.

312433121334213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077506 (or 1077492 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 312433121334213 in words is "three hundred twelve trillion, four hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-four thousand, two hundred thirteen".